Integrals — Class 12 Maths Solution

ncert exercise SA NCERT,ex.7.2,Q.1,Page 304
Question

$\cfrac{{2x}}{{1 + {x^2}}}$

Step-by-step Solution

.: Let$I = \int {\cfrac{{2x}}{{1 + {x^2}}}dx}$

Put $1 + {x^2} = t$ $\Rightarrow$ $2xdx = dt$

$\therefore$ $I = \int {\cfrac{{dt}}{t}} = \log t + C = \log \left( {1 + {x^2}} \right) + C$

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NCERT & Exemplar solution for CBSE Class 12 Mathematics, Integrals. Curated by Sachin Sharma. Free for all students.